Solve for \( y \) when \( x = -3, 0, 3 \) in the equation:

\[ 3x - 7y = 17 \]

3 x − 7 y = 17 − 7 y = 17 − 3 x ∣ : ( − 7 ) y = − 7 17 ​ + 7 3 ​ x Wh e n x = − 3 : y = − 7 17 ​ + 7 3 ​ ⋅ ( − 3 ) y = − 7 17 ​ − 7 9 ​ y = − 7 26 ​ = − 3 7 5 ​ Wh e n x = 0 : y = − 7 17 ​ + 7 3 ​ ⋅ 0 y = − 7 17 ​ = − 2 7 3 ​ Wh e n x = 3 : y = − 7 17 ​ + 7 3 ​ ⋅ 3 y = − 7 17 ​ + 7 9 ​ y = − 7 8 ​ = − 1 7 1 ​

Answered by luana | 2024-06-10

To find y for the values of x in the equation 3 x − 7 y = 17 , we rearranged the equation to find y = − 7 17 ​ + 7 3 ​ x . When x = − 3 , y is approximately -3.71; when x = 0 , y is approximately -2.43; and when x = 3 , y is approximately -1.14.
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Answered by luana | 2024-09-30